Erik Red is a player for the Arizona Snowflakes in the National Foosball League. The league has 25 teams, each with 73 players. Every week, 8 players per team are chosen for random drug testing.
A) What is the probability that Erik Red is chosen for random drug testing in a specified week of the foosball season?
B) What is the probability that Erik Red is chosen for random drug testing at least 5 times in the first 9 weeks of the foosball season?
C) What is the expected number of players who are chosen for random drug testing at least 4 times in the first 9 weeks of the foosball season?
D) Let Y be the number of players who are chosen for random drug testing at least 4 times in the first 9 weeks of the foosball season. What is the maximum possible value of Y, i.e., the largest k such that P(Y=k) > 0?

Answers

Answer 1

Answer:

8/73

0.10959

21 players

Step-by-step explanation:

Given that:

Number of teams = 25

Number of players per team = 73

Number of players chosen for drug testing = 8

A) What is the probability that Erik Red is chosen for random drug testing in a specified week of the foosball season?

Number chosen per team / number of players per team

8 / 73 = 0.10959

B) What is the probability that Erik Red is chosen for random drug testing at least 5 times in the first 9 weeks of the foosball season?

P( being chosen at least 5 times)

USing binomial. Distribution

P(X =x) = nCr * p^x * (1-p)^n-x

To save computation time, we can use the binomial distribution calculator :

P(x≥5):p(x = 5) + p(x = 6) + p(x =7) + p(x = 8) +. P(x = 9) = 0.00136

C) What is the expected number of players who are chosen for random drug testing at least 4 times in the first 9 weeks of the foosball season?

Number who are chosen atleast 4 times :

P(x ≥ 4) = p(x = 4) + p(x = 5) + p(x = 6) + p(x = 7) + p(x = 8) +. P(x =9) = 0.0115

P(x ≥ 4) * number of players per team * nunber of teams in league

0.0115 * 73 * 25 = 20.9875

= 21 players

D) Let Y be the number of players who are chosen for random drug testing at least 4 times in the first 9 weeks of the foosball season. What is the maximum possible value of Y, i.e., the largest k such that P(Y=k) > 0?


Related Questions

How many numbers have an absolute of 5/4

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A4

Step-by-step explanation:

1/2

1/3

1/5

1/4

The numbers which have an absolute of 5/4 are; -5/4 and 5/4.

According to the question;

We are required to determine how many numbers have an absolute of 5/4.

The absolute value of any number, a or -a is always positive a.

In essence, only numbers (-5/4) and 5/4 have an absolute of 5/4.

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You’re right the first one

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graph each figure with the given vertices and identify the figure. Then find the perimeter and area of the figure

1. S(0,0), T(3,-2), U(8,0)

2. 0(3,2), P(1,2), Q(1,-4), R(3,-4)

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JUST PUT THE FREAKING POINTS ON THE GRAPH

Answer:

put the stuff on 1 to the first graph

Step-by-step explanation:

putt the stuff on 2 in the second one

I don't understand this question, help me, someone, please

Answers

Answer:

Arranging the terms from least to greatest:

[tex]\frac{3039}{1000}<\frac{3200}{1000}<\frac{3990}{1000}<\frac{8200}{1000}[/tex]

Now actual terms arranged from least to greatest will be:

[tex]3\frac{39}{1000}<3\frac{1}{5} <3\frac{99}{100}<3\frac{52}{10}[/tex]

Step-by-step explanation:

We need to arrange the weights [tex]3\frac{1}{5} ,3\frac{39}{1000},3\frac{99}{100},3\frac{52}{10}[/tex] from least to greatest.

To arrange them in least to greatest we need to convert them into improper fractions and then make their denominators same.

[tex]3\frac{1}{5}=\frac{16}{5} \\3\frac{39}{1000}=\frac{3039}{1000} \\3\frac{99}{100}=\frac{399}{100} \\3\frac{52}{10}=\frac{82}{10}[/tex]

Now, Making their denominator same by taking LCM of 5,1000,100 and 10

The LCM is 1000

Now the fractions will become:

[tex]\frac{16}{5}=\frac{16*200}{5*200}=\frac{3200}{1000}[/tex]

[tex]\frac{399}{100}=\frac{399*10}{100*10}=\frac{3990}{1000}[/tex]

[tex]\frac{82}{10}=\frac{82*100}{10*100}=\frac{8200}{1000}[/tex]

Now we have fractions: [tex]\frac{3200}{1000},\frac{3990}{1000},\frac{8200}{1000},\frac{3039}{1000}[/tex]

Now the smallest term will be one having smallest numerator

Arranging the terms from least to greatest:

[tex]\frac{3039}{1000}<\frac{3200}{1000}<\frac{3990}{1000}<\frac{8200}{1000}[/tex]

Now actual terms arranged from least to greatest will be:

[tex]3\frac{39}{1000}<3\frac{1}{5} <3\frac{99}{100}<3\frac{52}{10}[/tex]

Charlie saves $29.85 each month for 6 months. In the seventh month, he only saves $10.20. How much money will Charlie have saved after 7 months

Answers

Answer:

charli from tiktok???? RENAGADEEEEE

jk $40.05 is the answer

Help please, also put a small explanation if u want brainliest, I wanna double check my answer

Answers

Answer:

C. 90 inches squared

Step-by-step explanation:

5 times 3 = 15

2 times 3 = 6

15 times 6 = 90 inches squared

Answer:

the answer is D

Step-by-step explanation:

the reason why it is D because you do 5x2 which equales 10 then u have to do 10x3 which equals 30 so the answer is 30 because she used the factor 3


Name the corresponding angle or side. a, b, c, or D

Answers

Answer:

I think it is B. LM

Step-by-step explanation:

i think this because the shape just looks like it is rotated.

Write down the name of each of these shapes.
a)
b)

Answers

Answer:

a. right triangle or right-angled triangle

b. scalene triangle

Answer:

a) right-angled triangle

b) scalene triangle

Step-by-step explanation:

a) the square represents 90 degrees, and 90 degrees is called a right angle.

b) It has no defined sides or angles and all sides or angles are different.

-9x=36
What is the value of x?

Answers

Answer:

x = 16 because if you multiply that and then divide

Answer: x=-4

Step-by-step explanation:

-9x=36

Divide both sides by -9 to get x alone

x=-4

0.77 times 0.112 divided by 78 times 90

Answers

Answer:

0.0995076923

Step-by-step explanation:

The mean hourly pay of an American Airlines flight attendant is normally distributed with a mean of $29.81 per hour and a standard deviation of $9.31 per hour. What is the probability that the hourly pay of a randomly selected flight attendant:


a. Is between the mean and $35.00 per hour? (Round intermediate calculations to 2 decimal places and final answer to 4 decimal places.)




b. Is more than $35.00 per hour? (Round intermediate calculations to 2 decimal places and final answer to 4 decimal places.)




c. Is less than $20.00 per hour? (Round intermediate calculations to 2 decimal places and final answer to 4 decimal places.)

Answers

Answer:

a

[tex]P(29.81 < X < 35) = 0.21141[/tex]

b

[tex]P( X > 35) =0.28859[/tex]

c

 [tex]P( X < 20) =0.14601[/tex]    

Step-by-step explanation:

From the question we are told that

    The mean is  [tex]\mu = \$29.81[/tex]

    The standard deviation is [tex]\sigma = \$9.31[/tex]

Generally the probability that the hourly pay of a randomly selected flight attendant  Is between the mean and $35.00 per hour is mathematically represented as

      [tex]P(29.81 < X < 35) = P( \frac{ 29.81 - 29.81 }{9.31} < \frac{x - \mu }{\sigma} < \frac{ 35 - 29.81 }{9.31} )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

     [tex]P(29.81 < X < 35) = P( 0 < Z < 0.5575 )[/tex]

=>   [tex]P(29.81 < X < 35) = P( Z < 0.5575) - P( Z < 0)[/tex]

From the z table  the area under the normal curve to the left corresponding to  0 and  0.5575   is  

   [tex]P( Z < 0) =0.5[/tex]

and

   [tex]P( Z < 0.5575) = 0.71141[/tex]

=>   [tex]P(29.81 < X < 35) = 0.71141 - 0.5[/tex]

=>   [tex]P(29.81 < X < 35) = 0.21141[/tex]

Generally the probability that the hourly pay of a randomly selected flight attendant  Is more than $35.00 per hour is mathematically represented as

   [tex]P(X > 35) = P( \frac{x - \mu }{\sigma} > \frac{ 35 - 29.81 }{9.31} )[/tex]

   [tex]P( X > 35) = P( Z > 0.5575 )[/tex]

From the z table  the area under the normal curve to the right  corresponding to 0.5575   is  

    [tex]P( Z > 0.5575 ) = 0.28859[/tex]

=>  [tex]P( X > 35) =0.28859[/tex]

Generally the probability that the hourly pay of a randomly selected flight attendant Is less than $20.00 per hour is mathematically represented as

   [tex]P(X <20 ) = P( \frac{x - \mu }{\sigma} < \frac{20 - 29.81 }{9.31} )[/tex]

   [tex]P( X < 20) = P( Z < -1.0537 )[/tex]

From the z table  the area under the normal curve to the right  corresponding to -1.0537  is  

    [tex]P( Z < -1.0537 ) = 0.14601[/tex]

=>  [tex]P( X < 20) =0.14601[/tex]    

Pls help will mark brainliest

Answers

Answer:

f(5) = 9

Step-by-step explanation:

f(x) = 4x - 11

f(5)

f(5) = 4(5) - 11       Substitute 5 for x

f(5) = 20 - 11         Solve down

f(5) = 9

Hope this helps!

A turntable has a diameter of 40 cm what its circumference

Answers

Answer:

Circumference of turntable is 125.6 cm

Step-by-step explanation:

Diameter of turntable = 40 cm

We need to find circumference of turntable.

The formula used to calculate circumference is: [tex]Circumference=2\pi r[/tex]

where r is radius

We know that: [tex]radius=\frac{diameter}{2}[/tex]

Finding radius first:

[tex]radius=\frac{diameter}{2}\\radius=\frac{40}{2}\\radius = 20 \ cm[/tex]

So, radius r=20 cm

Now finding circumference

[tex]Circumference=2\pi r\\Circumference=2\times3.14\times20\\Circumference=125.6 \ cm[/tex]

So, circumference of turntable is 125.6 cm

what is the absolute value of 600

Answers

Answer: 600

Step-by-step explanation:

Piper used 1/3yard of ribbon to create a border around a
triangle. If the sides of the triangle are all the same length, how much ribbon did she use for each side

Answers

Answer:

1/9 yards of ribbon

Step-by-step explanation:

triangle = 3 sides

since it has the same length sides, then

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1/3 feet, or

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4 inches

Kirsty counts number of peas in a pod

Answers

Answer:

I do not know

Step-by-step explanation:

You need to put the rest of the question there so that we know how many peas there are and what is happening to the peas.

Answer:

Put the rest of the equation so we can help you

Step-by-step explanation:

The graph shows the number of miles Peter's car traveled and the gallons of gas used.
MILEAGE OF PETER'S CAR
160
140
120
100
Miles Traveled
80
60
40
20
8
9 10
1 2 3 4 5 6 7
Gallons of Gas
Which equation can be used to find the distance in miles, d, that the car can travel on g gallons of gas?

Answers

Answer:

I believe it’s d=16g

Step-by-step explanation: Because the graph is on 160 but we are converting it to a bigger number or smaller so it’s 16 I think

use a ciommon denominator to write an equivalent fraction for each fraction

Answers

A common denominator, which means having the same number in the denominator (or the bottom) of each fraction, creates equivalent fractions that can be added, subtracted, or compared. Finding a common denominator means finding one number that each denominator can divide into easily.

[tex] : )[/tex]

walking in the winter wonderland here comes ________right down Santa claus lane

Answers

Answer:

Santa Claus

Step-by-step explanation:

It goes " walking in a winter wonderland here comes Santa Claus right down Santa Claus lane :) hope this helps

Answer:

Santa Clause

Step-by-step explanation:

Happy Holidays

A map of a rectangular park has a length of 4 inches and a width of 6 inches. Ir uses a scale of 1 inch for every 10 miles. What is the area of the park? Is tthe answer 2,400 miles?

Answers

Answer:

yes, your answer would be 2400

Usa mmm para mostrar cada número.
Comienza con
este número.
Encierra en un
Escribe un
círculo es mayor
número para
que o es menor que comparar.
1.
es mayor que
es menor que
37
2.
es mayor que
es menor que
61

Answers

1. es menor que
2. es menor que

X-97x = 90
Solve for this equation

Answers

Answer: X= -15/16 or X= -0.9375

Step-by-step explanation:


Please help me I’m failing!!!

Answers

-9 is the answer hope you pass
-9 Is The Answer Hope This Helps

Write the following as a base-10 numeral in standard form.
4 x 105 + 2 x 102 + 7 =

Answers

Answer:

631

Step-by-step explanation:

4x105=420

102*102=204

Rewrite the equation:

420+204+7= 631

(help!)


On a game show, Luke got to spin the wheel twice.
The first time, he got 900 points.
The second time, he got -200 points.
Assuming he started with no points, what was his total score?
A) 700
B) -700
C) 1100
D) - 1100

Answers

Answer:

a)700 is the answer that was easy

point k lies at (-3,4) Image

Answers

Answer:

[tex]k(x,y) --> k'(x,y-7)[/tex]

Step-by-step explanation:

Given

[tex]k = (-3,4)[/tex]

Translation: 7 units down

Required

Determine the rule to produce k'

When an (x,y) coordinate is translated down by h units, the resulting point is:

(x,y) --> (x, y - h)

In this case:

[tex]h = 7[/tex]

So, we have:

[tex]k(x,y) --> k'(x,y-7)[/tex]

Hence, option A answers the question.

Solving further to determine the coordinates of k'.

[tex]k = (-3,4)[/tex]

[tex]k' = (-3,4-7)[/tex]

[tex]k' = (-3,-3)[/tex]

Solve x2 - 16 = 59. What does x
equal?

Answers

Answer:

37.5

Step-by-step explanation:

Answer:  x = 75/2 = 37.5

Step by Step:

Solve for x:

2 x - 16 = 59

Hint: | Isolate terms with x to the left hand side.

Add 16 to both sides:

2 x + (16 - 16) = 16 + 59

Hint: | Look for the difference of two identical terms.

16 - 16 = 0:

2 x = 59 + 16

Hint: | Evaluate 59 + 16.

59 + 16 = 75:

2 x = 75

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 2 x = 75 by 2:

(2 x)/2 = 75/2

Hint: | Any nonzero number divided by itself is one.

2/2 = 1:

Answer:  x = 75/2 = 37.5

Brainliest if you provide a valid answer and explanation!

Q: Find the area!

Answers

Answer:

113.04 in^2

Step-by-step explanation:

A=pi*r^2

A=3.14*6^2

A=3.14*36

A=113.04

Answer

The area of the circle is [tex]36\pi[/tex] inches squared.

Explanation

The formula for the area of a circle is [tex]\pi r^{2}[/tex]. You are already given the radius (which is 6) so all you have to do is substitute the 6 for 'r' and solve the equation.

After substituting 6 for 'r' you get [tex]\pi 6^{2}[/tex].

According to PEMDAS, you have to solve 6 to the power of 2 first. 6 to the power of 2 is 36.

So the area of the circle is [tex]36\pi[/tex] inches squared.

If you would like to completely solve for the area, you can multiply 36 by 3.14. 36 times 3.14 equals 113.04. Note that this is not the exact answer, because [tex]\pi[/tex] is a never ending number, meaning if you multiplied both numbers, you product would also be a never ending number.

So the area of the circle is [tex]36\pi[/tex] or about [tex]113.04[/tex] inches squared.

777×900
Can u help me​

Answers

1st Answer:

The answer to this would be 699,300!

Have a great day good luck! Plugging it into a calculator was easy^^

Answer:

699,300

Step-by-step explanation:

777x900=699,300

Answers must be in standard form:
(Y-1)(y-3)

Answers

Answer:

Its already,

I guess

But

= Y^2 - 4y + 3

Answer:

Y * Y -3Y-Y+3

Y2-4Y+3

when Y2is square of Y

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